An application fo the Nekhoroshev theorem to the restricted three-body problem

DOI10.1007/BF00728351zbMath0967.70503MaRDI QIDQ1369865

Alessandra Celletti, Laura Ferrara

Publication date: 25 November 1997

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

three-body problemNekhoroshev theoremstability of motionrestricted circular three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (10)

The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems ⋮ Nekhoroshev and KAM stabilities in generalized Hamiltonian systems ⋮ A numerical study of the stabilization effect of steepness ⋮ Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems ⋮ The speed of Arnold diffusion ⋮ Nekhoroshev estimates for the orbital stability of Earth's satellites ⋮ A separation bound for non-Hamiltonian differential equations with proper first integrals ⋮ Sharp Nekhoroshev estimates for the three-body problem around periodic orbits ⋮ STABILITY OF NEARLY-INTEGRABLE SYSTEMS WITH DISSIPATION ⋮ The steep Nekhoroshev's theorem

Cites Work

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• On the stability of the Lagrangian points in the spatial restricted problem of three bodies
• Stability of motions near resonances in quasi-integrable Hamiltonian systems
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• Exponential stability for time dependent potentials
• Nekhoroshev estimates for quasi-convex Hamiltonian systems
• On the stability of realistic three-body problems
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

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